کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630564 1340603 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variation and series approach to the Thomas–Fermi equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Variation and series approach to the Thomas–Fermi equation
چکیده انگلیسی

The Thomas–Fermi equation describing the screening of the Coulomb potential inside heavy neutral atoms is reconsidered. An accurate representation for its numerical solution was obtained by means of the variational principle. The proposed new solution has more precise asymptotic behaviour at large distances from the origin and allows us to obtain the exact value of the initial slope. The obtained new variational solution can also be developed in power series similar to the Baker’s ones but more precise even than some series solutions that have been recently obtained within the homotopy analysis method and a modified variational method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 2, 15 September 2011, Pages 303–307
نویسندگان
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